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# Determine the amplitude, period, and phase shift for the given function. Graph the function over one period. Indicate the $x$ -intercepts and the coordinates of the highest and Iowest points on the graph.$$f(x)=\sin \left(x-\frac{\pi}{6}\right)$$

## $\left(\frac{5 \pi}{3}-1\right)$

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

So we have. FX is equal to sign of X minus pi over six. So far, thing is theon Institute is one. The second thing is a period which is to pipe. Third thing is the phase shift. So the face shift is glued to pyre or six. The graph is drawn here. You can see the graph on the graph. You can also see the maximum point and you can also see the quarter softer, minimal point.

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor